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Finding the Third Proportional to 143.02 and 219.59

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Solution

The third proportional to 143.02 and 219.59 is: 337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.02 : 219.59 = 219.59 : x
  2. Step 2: Convert to fraction form
    143.02/219.59 = 219.59/x
  3. Step 3: Cross multiply
    143.02x = 219.59 × 219.59
  4. Step 4: Simplify right side
    143.02x = 48,217.98
  5. Step 5: Solve for x
    x = 48,217.98/143.02
  6. Step 6: Final answer
    x = 337.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.